M. Fırat Arıkan
Associate Professor
Middle East Technical University
Department of Mathematics
06800, Ankara
Turkey
Email: farikan [at] metu.edu.tr
Phone: +90 312 210 5348
Fax: +90 312 210 2972
Current Courses (Fall 2022)
· Math 154
· Math 371
·
Office hours (Spring 2023): Visit the course webpages above
RESEARCH
Publications
- On Legendrian Embeddings into Open Book Decompositions, 2019 Arkiv för Matematik, joint with S. Akbulut
- Stabilizations via Lefschetz Fibrations and Exact Open Books, 2017 Journal of GGT, joint with S. Akbulut
- Tight Contact Structures on Hyperbolic Three-Manifolds, 2017 Topology & its Applications, joint with M. Secgin
- Legendrian Realization in Convex Lefschetz Fibrations and Convex Stabilization, 2015 Forum Mathematicum, joint with S. Akbulut
- Existence of Compatible Contact Structures on G_2-Manifolds, 2011 Asian Journal of Mathematics, joint with H. Cho and S. Salur
- On the Classification of Certain Planar Contact Structures, 2011 Acta Mathematica Hungarica, joint with S. Durusoy
- A Note on Lefschetz Fibrations on Compact Stein 4-Manifolds, 2010 Communications in Contemporary Mathematics, joint with S. Akbulut
- Topological Invariants of Contact Structures and Planar Open Books, 2008 Ph.D. Thesis
- Planar Contact Structures with Binding Number Three, 2007 Proceedings of Gokova Geometry / Topology Conference
- On the Support Genus of a Contact Structure, 2007 Journal of GGT
- Construction of Surface Bundles with Nonzero Signature, 2002 M.S. Thesis
Preprints
- Maximal Page Crossing Numbers of Legendrian Surfaces in Closed Contact 5-Manifolds (submitted to BBMS)
- Legendrian Contact Homology in Closed Contact Manifolds,
joint with S. Akbulut (work in progress)
- Contact Symplectic Fibrations and Fiber
Connected Sum (work in progress)
- Contact
Structures on G_2-Manifolds and Spin 7-manifolds, (arXiv:1207.2046), joint with
H. Cho and S. Salur (work in progress)
- Lefschetz Fibrations on Compact
Stein Manifolds, Preprint,
joint with S. Akbulut (work in progress)